“Most mathematics books are filled with finished theorems and polished proofs, and to a surprising extent they ignore the methods used to create mathematics. It is as if you merely walked through a picture gallery and never told how to mix paints, how to compose pictures, or all the other "tricks of the trade."”

— Richard Hamming

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

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Richard Hamming 90

American mathematician and information theorist 1915–1998

Richard Hamming (1915–1998) American mathematician and information theorist

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

“The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic.”

Ronald Fisher (1890–1962) English statistician, evolutionary biologist, geneticist, and eugenicist

Discussion to ‘Statistics in agricultural research’ by J.Wishart, Journal of the Royal Statistical Society, Supplement, 1, 26-61, 1934.
1930s

“Laplace created a number of new mathematical methods that were subsequently expanded into branches of mathematics, but he never cared for mathematics except as it helped him to study nature.”

Morris Kline (1908–1992) American mathematician

Source: Mathematical Thought from Ancient to Modern Times (1972), p. 495

“Book-to-screen adaptations must always strive for two things: First, you must find a way to tell the broad story of the original plot; second, you must somehow reflect the spirit and texture of the novel—that is, you must transform a lot of words into a few pictures. All those digressions, inner monologues, thought processes, turns of phrase, all those word pictures, and especially all that un-photographable stuff that made the novel so delicious, must somehow be represented onscreen by use of the filmmaker's tools: moving pictures, dialogue and performance, sets, costumes, music and all the other tricks of the trade. That's the process a writer must go through to create a successful blueprint for a film.”

Tommy Lee Wallace (1949) American film director

Tommy Lee Wallace on Crafting His Miniseries Masterpiece, IT https://dailydead.com/stephen-king-week-tommy-lee-wallace-on-crafting-his-miniseries-masterpiece-it/ (October 27, 2015)

“One should not be deceived by philosophical works that pretend to be mathematical, but are merely dubious and murky metaphysics. Just because a philosopher can recite the words lemma, theorem and corollary doesn't mean that his work has the certainty of mathematics. That certainty does not derive from big words, or even from the method used by geometers, but rather from the utter simplicity of the objects considered by mathematics.”

Pierre Louis Maupertuis (1698–1759) French mathematician, philosopher and man of letters

Les Loix du Mouvement et du Repos, déduites d'un Principe Métaphysique (1746)

“Life is not merely persistent, as Jock puts it; life is explosive. The basic theorem of population mathematics to which there has never been found an exception is that population increases always, not merely up to the extent of the food supply, but beyond it, to the minimum diet that will sustain life—the ragged edge of starvation.”

Robert A. Heinlein book Farmer in the Sky

Source: Farmer in the Sky (1950), Chapter 18, “Pioneer Party” (p. 196)

“No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it gives the impression of also being beautiful.”

George Boole (1815–1864) English mathematician, philosopher and logician

Attributed to George Boole in: Des MacHale (1993) Comic sections: the book of mathematical jokes, humour, and wisdom. p, 107
Attributed from posthumous publications

“Pure mathematics proves itself a royal science both through its content and form, which contains within itself the cause of its being and its methods of proof. For in complete independence mathematics creates for itself the object of which it treats, its magnitudes and laws, its formulas and symbols.”

Christian Heinrich von Dillmann (1829–1899) German educationist

Source: Die Mathematik die Fackelträgerin einer neuen Zeit (Stuttgart, 1889), p. 94.

“I thought fit to… explain in detail in the same book the peculiarity of a certain method, by which it will be possible… to investigate some of the problems in mathematics by means of mechanics. This procedure is… no less useful even for the proof of the theorems themselves; for certain things first became clear to me by a mechanical method, although they had to be demonstrated by geometry afterwards… But it is of course easier, when we have previously acquired, by the method, some knowledge of the questions, to supply the proof than it is to find it without any previous knowledge.”

Archimedes book The Method of Mechanical Theorems

The Method of Mechanical Theorems

“I am persuaded that it [The Method of Mechanical Theorems] will be of no little service to mathematics; for I apprehend that some, either of my contemporaries or of my successors, will, by means of the method when once established, be able to discover other theorems in addition, which have not yet occurred to me.”

Archimedes book The Method of Mechanical Theorems

The Method of Mechanical Theorems

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